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Fundamental group of moduli of principal...

Biswas, Indranil...

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Fundamental group of moduli of principal bundles on curves by Biswas, Indranil ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	10-08-2023
Summary	Let $X$ be a compact connected Riemann surface of genus at least two, and let ${G}$ be a connected semisimple affine algebraic group defined over $\mathbb C$. For any $\delta \in \pi_1({G})$, we prove that the moduli space of semistable principal ${G}$--bundles over $X$ of topological type $\delta$ is simply connected. In contrast, the fundamental group of the moduli stack of principal ${G}$--bundles over $X$ of topological type $\delta$ is shown to be isomorphic to $H^1(X, \pi_1({G}))$.
ISBN	-
Item Type	Article
File Type	pdf
File Size	30.00 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1609.06436

Citation

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AMA 11th EditionReferences

Biswas, Indranil. Fundamental group of moduli of principal bundles on curves. Australian National University. August 10, 2023. Accessed October 02, 2025. https://online.provdatabase.com/cite/14040

APA 7th EditionReferences

Biswas, Indranil. (2023). Fundamental group of moduli of principal bundles on curves. Australian National University. https://online.provdatabase.com/cite/14040

Chicago 17th EditionReferences

Biswas, Indranil. Fundamental group of moduli of principal bundles on curves. Australian National University. 2023. https://online.provdatabase.com/cite/14040

HarvardReferences

Biswas, Indranil. (2023). Fundamental group of moduli of principal bundles on curves. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/14040. (Accessed 02 October 2025).

Harvard AustraliaReferences

Biswas, Indranil, 2023, Fundamental group of moduli of principal bundles on curves, Australian National University, viewed 02 October 2025, <https://online.provdatabase.com/cite/14040>

MLA 9th EditionWorks Cited

Biswas, Indranil. Fundamental group of moduli of principal bundles on curves. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/14040.

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